问题 填空题

写有1~6数字的卡片若干张,从中任意取出2010张摆放成一排,然后从这排卡片中任意取出相邻的两张卡片,让其数字相乘得到一个乘积,那么这些乘积中,至少有______个相同.

答案

由于数字为1-6,故相邻两个数的乘积为,

1,2,3,4,5,6,8,9,10,12,

15,16,18,20,24,25,30,36;

共18种.

2010张一排相邻的总共可以有2010-1=2009个乘积,

2009÷18=111…11

即每个数字重复111遍,另有11个数字每个再重复一遍.

这些乘积中,至少有112个相同.

答:至少有112个相同.

故答案为:112.

阅读理解

阅读理解。

     The Year of the Dog has gone and this year we have pigs. What words can we think of for pigs? Some

bad words maybe, like silly, dirty, greedy (贪婪)…But, are these true?

     When we see pigs, they are usually in dirty water or behind dirty fences. But pigs also want to be clean

if they can. Pigs have no sweat glands( 汗腺), so they have to get cool in water when they feel hot.

     If people are greedy, we say they "pig out". Yes, pigs love eating a lot. But they are useful to people.

People not only eat their meat, but also use other parts of pigs. Pig skin is used for glue and shoes. The hair

can be used to make brushes. Sometimes, pigs are even used to make medicine.

     "He is as silly as a pig!" This expression is wrong. Pigs are very smart animals. Among all animals, they

are the third cleverest-monkeys, dolphins and pigs. Scientists think the training of pigs is easier than the

training of dogs and cats. Pigs have a very good sense of smell (嗅觉). They can find things nearby or

faraway. They can also help the police to sniff-out drugs (毒品) at an airport or at a train station.

1. In this passage, the writer mainly wants to tell us that _____.

A. pigs are always very silly, dirty and greedy

B. pigs are as clever as monkeys and dolphins

C. people's ideas about pigs are not always correct

2. Pigs usually like to stay in water in hot weather because they can _____ there.

A. clean themselves

B. drink water

C. get cool

3. The _____ of pigs can be used to make glue.

A. skin

B. meat

C. hair

4. The training of pigs is easier because _____.

A. they are smarter than dogs and cats

B. they can do everything easily

C. they have a very good sense of smell

5. The underlined phrase "sniff out" probably means _____ something by nose.

A. smell

B. discover

C. feel

选择题